Least Common Multiple of 109/322, 261/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/322, 261/707 quickly i.e. 28449/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/322, 261/707 is 28449/7.

LCM(109/322, 261/707) = 28449/7

LCM of 109/322, 261/707

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 109/322,261/707

Given numbers are 109/322,261/707

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 109,261

Least Common Multiple of Numerators i.e. LCM of 109,261 is 28449.

GCF of Denominators means GCF of 322,707 as per the given fractions.

GCF of 322,707 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,261

LCM of Fractions 109/322,261/707 is 28449/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 28449

Least Common Multiple of 109,261 with GCF Formula

Least Common Multiple of 109,261 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 109,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,261) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(109,261) x common factors =1 x 1 = 1

LCM(109,261) = ( 109 × 261 ) / 1

LCM(109,261) = 28449 / 1

LCM(109,261) = 28449


Lets's calculate GCF of 322,707

7 322, 707
46, 101

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28449/7

Therefore the LCM of Fractions 109/322,261/707 is 28449/7

Greatest Common Factor of 322,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,707 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 322,707 . The biggest common factor number is the GCF number.
So the greatest common factor 322,707 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 109/322, 261/707

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 109/322, 261/707?

Answer: LCM of Numerators as per given numbers 109/322, 261/707 is

LCM of Numerators i.e. for 109,261 is 28449

GCF of denominators i.e. for 322,707 is 7.

Thus, LCM of Fractions is 28449/7.Finally, LCM of Fractions for 109/322, 261/707 is 28449/7.